Three circle theorems for eigenfunctions on complete shrinking gradient Ricci solitons with constant scalar curvature

被引：3

作者：

Ou, Jianyu ^{[1
]}

机构：

[1] Univ Macau, Dept Math, Macau, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 464卷 / 02期

关键词：

Three circle theorem; Ricci soliton; Eigenfunction; Frequency function; UNIQUE CONTINUATION; HARMONIC-FUNCTIONS; EQUATIONS; FLOW;

D O I：

10.1016/j.jmaa.2018.04.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The classical Hadamard's three circle theorem is generalized to complete shrinking gradient Ricci solitons with constant scalar curvature for eigenfunctions of the Laplace operator based on a variant of frequency function. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1243 / 1259

页数：17

共 50 条

[21] On Shrinking Gradient Ricci Solitons with Positive Ricci Curvature and Small Weyl Tensor
Zhuhong Zhang
Chih-Wei Chen
Acta Mathematica Scientia, 2019, 39 : 1235 - 1239
[22] ON SHRINKING GRADIENT RICCI SOLITONS WITH POSITIVE RICCI CURVATURE AND SMALL WEYL TENSOR
张珠洪
陈志伟
Acta Mathematica Scientia, 2019, 39 (05) : 1235 - 1239
[23] Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature
Huai-Dong Cao
Junming Xie
Mathematische Zeitschrift, 2023, 305
[24] Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature
Cao, Huai-Dong
Xie, Junming
MATHEMATISCHE ZEITSCHRIFT, 2023, 305 (02)
[25] Four-dimensional complete gradient shrinking Ricci solitons
Cao, Huai-Dong
Ribeiro, Ernani, Jr.
Zhou, Detang
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2021, 778 : 127 - 144
[26] Correction to: Gradient shrinking Ricci solitons of half harmonic Weyl curvature
Jia-Yong Wu
Peng Wu
William Wylie
Calculus of Variations and Partial Differential Equations, 2021, 60
[27] Classification of complete generic shrinking Ricci solitons with pointwise pinched curvature
Chu, Yawei
Huang, Rui
Li, Wenwen
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2017, 54 : 385 - 396
[28] Gradient steady Kahler Ricci solitons with non-negative Ricci curvature and integrable scalar curvature
Chan, Pak-Yeung
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2022, 30 (02) : 271 - 296
[29] Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature
Deng, Yuxing
Zhu, Xiaohua
MATHEMATISCHE ZEITSCHRIFT, 2015, 279 (1-2) : 211 - 226
[30] Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature
Yuxing Deng
Xiaohua Zhu
Mathematische Zeitschrift, 2015, 279 : 211 - 226

← 1 2 3 4 5 →